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Definitions: FSc Part1 KPK
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* **Trigonometry equation:** The equation, containing at least one trigonometry function are called Trigonometry equation. \\ e.g. $sin x=\frac{2}{7}$, $cos x-tan x=0$. ... or e-circle. * **Trigonometric function:** The equation, containing at least one trigonometric function,
Question 5, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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=====Question 5(i)===== Find the solutions of the equation ${{z}^{2}}+z+3=0$\\ ====Solution==== ${{z}^{2}}+... ====Question 5(ii)===== Find the solutions of the equation ${{z}^{2}}-1=z$.\\ ====Solution==== ${{z}^{2}}-1... ===Question 5(iii)===== Find the solutions of the equation ${{z}^{2}}-2z+i=0$\\ ====Solution==== ${{z}^{2}... ====Question 5(iv)===== Find the solutions of the equation ${{z}^{2}}+4=0$\\ ====Solution==== ${{z}^{2}}+4=
Question 6, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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=====Question 6(i)===== Find the solutions of the equation ${{z}^{4}}+{{z}^{2}}+1=0$\\ ====Solution==== \be... ====Question 6(ii)===== Find the solutions of the equation ${{z}^{3}}=-8$\\ ====Solution==== \begin{align}{... ===Question 6(iii)===== Find the solutions of the equation ${{\left( z-1 \right)}^{3}}=-1$.\\ ====Solution==... ====Question 6(iv)===== Find the solutions of the equation ${{z}^{3}}=1$ \\ ====Solution==== \begin{align}{
Multiple Choice Questions (MCQs)
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-\omega, -\omega^2$ * (D) $1, -1, 2$ * The equation $ax^2+bx+c=0$ will be quadratic if * (A) $a=0... e formed by using a sign of '=' is a/an * (A) equation * (B) formula * (C) rational fraction ... on * (C) series * (D) permutation * The equation $ax^2+bx+c=0$ will be quadratic if * (A) $a=0
Question 1, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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=Question 1(i)===== Solve the simultaneous linear equation with complex coefficient. \begin{align}&z-4w=3i\\... Question 1(ii)===== Solve the simultaneous linear equation with complex coefficient. \begin{align}&z+w=3i\\ ... uestion 1(iii)===== Solve the simultaneous linear equation with complex coefficient. \begin{align} &3z+(2+i)
Question 3 & 4, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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{z}_{1}}=-1+i$ and ${{z}_{2}}=-1-i$ satisfied the equation ${{z}^{2}}+2z+2=0$\\ ====Solution==== Given: $... ign} This implies $z_1=-1+i$ satisfied the given equation.\\ Now put $z_2=-1-i$ in (i) \begin{align} L.H.S&... \end{align} This implies $z_2=-1-i$ satisfied the equation. =====Question 4===== Determine weather $1+2i$ i
Unit 1: Complex Numbers (Solutions) @fsc-part1-kpk:sol
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product of linear factors. * Solve quadratic equation of the form $pz^2+ qz+ r = 0$ by completing squar
Question 6, 7 & 8, Review Exercise 1 @fsc-part1-kpk:sol:unit01
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i}=-i$ =====Question 8===== Find the quadrative equation $z+\dfrac{2}{z}=2.$\\ ====Solution==== \begin{ali